Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions
By Huo Tang, Guantie Deng, Shuhai Li. Journal of Inequalities and Applications, 2013
67 citations recorded by the source corpus.
In this paper, we introduce and investigate two new subclasses Hσμ(λ,φ) and Mσγ(λ,μ,φ) of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk D={z∈C:|z|<1}. For functions belonging to these new subclasses, we obtain estimates for the initial coefficients |a2| and |a3|. The results presented in this paper would generalize those in related works of several earlier authors. MSC:30C45, 30C80.
Subfields: Electronic, Optical and Magnetic Materials, Geometry and Topology, Polymers and Plastics
View Paper: https://www.semanticscholar.org/paper/18bd05e2ef9ac3f498000f0e2978d4e993dbd42e
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In Electronic, Optical and Magnetic Materials
In Geometry and Topology
- Hari M. Srivastava
- Srikandan Sivasubramanian
- Huo Tang
- Rosihan M. Ali
- Deepak Bansal
- Sevtap Sümer Eker
- Anbhu Swaminathan
- Serap Bulut
In Polymers and Plastics
Citations in the corpus
- Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions (2015, background): “In fact, judging by the remarkable flood of papers on the subject (see, for example, [5–7, 9–12, 15–17, 19–21, 23, 26, 27, 29, 30]), the recent pioneering work of Srivastava et al.”
- Coefficient estimates for a subclass of analytic and bi-univalent functions (2015, result): “In fact, judging by the remarkable flood of papers on non-sharp estimates on the first two coefficients ja2j and ja3j of various subclasses of the bi-univalent function class R (see, for example, [19–30,35,31–34,15,36–38]), the above-cited recent pioneering work of Srivastava et al.”
- The Fekete-Szegö functional problems for some subclasses of m-fold symmetric bi-univalent functions (2016, background): “Many researchers (see [6, 12, 13, 14, 16, 17, 18, 20]) recently investigated several interesting subclasses of the class Σ and found non-sharp estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| .”